Evaluating order constrained hypotheses for circular data from a mixed subjects design

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Evaluating order constrained hypotheses for circular data from a mixed subjects design

Baayen, C.

(2012) Faculty of Social and Behavioural Sciences Theses

(Master thesis)

Abstract

Researchers in psychology often encounter data measured in angles, e.g. directions, or measurements on circular scales such as the circumplex model of affect. Due to periodicity, the evaluation of these so called circular data requires special statistical methods. This paper introduces new type A and type B tests for the ... read more analysis of order constrained hypotheses for circular data. Through these tests, researchers can evaluate their expectations regarding the outcome of an experiment directly by representing their ideas in the form of a hypothesis containing inequality constraints. The resulting data analysis is generally more powerful than one using standard null hypothesis testing. An example of circular data from psychology is presented to illustrate the use of the tests. Results from a simulation study show that the tests perform well in terms of type I error and power. show less

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